Respuesta :

Answer:

36 times larger.

Step-by-step explanation:

V= [tex]\pi *r^{2}*\frac{h}{3}[/tex] is the original volume of a cone formula.

If the radius is multiplied by 6 the new formula is:

V= [tex]\pi *(6x)^{2} * \frac{4}{3}[/tex]

Which is simplified to:

V= [tex]\pi *36r^2*\frac{h}{3}[/tex]

The only difference between the simplified formula and the original is the *36 so the new volume is 36 times larger when the radius is multiplied by 6.

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